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Finding the Third Proportional to 4.50 and 9.81

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Solution

The third proportional to 4.50 and 9.81 is: 21.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.50 : 9.81 = 9.81 : x
  2. Step 2: Convert to fraction form
    4.50/9.81 = 9.81/x
  3. Step 3: Cross multiply
    4.50x = 9.81 × 9.81
  4. Step 4: Simplify right side
    4.50x = 96.29
  5. Step 5: Solve for x
    x = 96.29/4.50
  6. Step 6: Final answer
    x = 21.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.